ArticleComputational and mathematical methods in medicine2020
Mathematical Model for Optimal Control of Soil-Transmitted Helminth Infection.
Article in Computational and mathematical methods in medicine, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers, 1 of them a synthesis that pooled it.
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8 citing papers in PubMed, 1 synthesis or guideline pooled it, 16 citations in OpenAlex.
- A systematic review of mathematical models for soil-transmitted helminthiasis control strategies.PLoS neglected tropical diseases · 2026Pooled it
- Computational framework and machine learning approach to fractional order soil helminth infections disease model for control mechanism.Scientific reports · 2026Article
- Mathematical modeling of control strategies for the elimination of soil-transmitted helminthiases in Thailand.PLoS neglected tropical diseases · 2025Article
- A scoping review of transmission models for soil-transmitted helminth infections to underpin the development of a transmission model forParasitology · 2024Article
- Modeling cryptosporidiosis in humans and cattle: Deterministic and stochastic approaches.Parasite epidemiology and control · 2023Article
- Optimal control analysis of a transmission interruption model for the soil-transmitted helminth infections in Kenya.Current research in parasitology & vector-borne diseases · 2023Article
- Modeling the Interruption of the Transmission of Soil-Transmitted Helminths Infections in Kenya: Modeling Deworming, Water, and Sanitation Impacts.Frontiers in public health · 2021Article
- Modeling the Effects of Helminth Infection on the Transmission Dynamics of Mycobacterium tuberculosis under Optimal Control Strategies.Computational and mathematical methods in medicine · 2020Article
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Authors and funding
4 authors at 4 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
In this paper, we study the dynamics of soil-transmitted helminth infection. We formulate and analyse a deterministic compartmental model using nonlinear differential equations. The basic reproduction number is obtained and both disease-free and endemic equilibrium points are shown to be asymptotically stable under given threshold conditions. The model may exhibit backward bifurcation for some parameter values, and the sensitivity indices of the basic reproduction number with respect to the parameters are determined. We extend the model to include control measures for eradication of the infection from the community. Pontryagian's maximum principle is used to formulate the optimal control problem using three control strategies, namely, health education through provision of educational materials, educational messages to improve the awareness of the susceptible population, and treatment by mass drug administration that target the entire population(preschool- and school-aged children) and sanitation through provision of clean water and personal hygiene. Numerical simulations were done using MATLAB and graphical results are displayed. The cost effectiveness of the control measures were done using incremental cost-effective ratio, and results reveal that the combination of health education and sanitation is the best strategy to combat the helminth infection. Therefore, in order to completely eradicate soil-transmitted helminths, we advise investment efforts on health education and sanitation controls.
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